论文标题
非权利主义流体动力学的有效野外理论
Effective field theory for non-relativistic hydrodynamics
论文作者
论文摘要
我们写下了针对非偏见（加利利）流体动力学的Schwinger-keldysh有效田间理论。我们使用无效的背景构造将伽利略田野理论与一组背景来源融为一体。用这种语言，伽利略流体动力学被重铸为相对论的流体动力学，以一维更高时空制定，承认杀死载体。这使我们能够将相对论流体动力学的现有现场理论技术导入加利利环境中，并进行了少量修改以包括其他背景矢量字段。我们使用此公式来制定相互作用的场理论，描述了热平衡周围能量，动量和密度模式的随机波动。我们还将结果翻译成更传统的牛顿 - 卡丹语言，并讨论如何通过对相对论水动力学的有效野外理论的非相关限制得出同一语言。
We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set of background sources. In this language, Galilean hydrodynamics gets recast as relativistic hydrodynamics formulated on a one-dimension higher spacetime admitting a null Killing vector. This allows us to import the existing field-theoretic techniques for relativistic hydrodynamics into the Galilean setting, with minor modifications to include the additional background vector field. We use this formulation to work out an interacting field theory describing stochastic fluctuations of energy, momentum, and density modes around thermal equilibrium. We also present a translation of our results to the more conventional Newton-Cartan language and discuss how the same can be derived via a non-relativistic limit of the effective field theory for relativistic hydrodynamics.
